Abstract: When G is a compact family of characteristic functions, we show that the set span_n(G) of n-fold linear combinations is approximatively compact with respect to the L^p-metric for all p in the closed interval [1,\infty] and all n >= 1 Examples are considered. This is joint work with V. Kurkova.

Organizers:
V. Bogdan, The Catholic University of America
A. Levin, The Catholic University of America
R. Kalpathy, The Catholic University of America
P. Kainen, Georgetown University
A. Vogt, Georgetown University